Help please, i have been stuck on this question for 20 minutes AND I DONT GET IT. Please help me.

A blank is a unit rate with a denominator of 1 unit. What is the the blank?

Bumek [7]

A unit rate is a ratio that has a denominator of 1. A unit rate is also called a unit ratio. (They mean the same thing.)

\frac{5}{4} and 3:8 and 40\mbox{ to }10 are ratios, but they are not unit ratios.

\frac{1.25}{1} and 0.375:1 and 4\mbox{ to }1 are unit ratios.

Any ratio can be converted into a unit ratio by dividing the numerator and the denominator by the denominator.

4 0

3 years ago

Which statements about the hyperbola are true? Check all that apply. A. There is a focus at (0,−10). B. There is a focus at (0,

hichkok12 [17]

Answer:

A. There is a focus at (0,−10).

Step-by-step explanation:

Assume the hyperbola is like the one below.

The hyperbola is vertical and centred on the y-axis, so its general equation is

$\dfrac{y^{2}}{a^{2}} - \dfrac{x^{2}}{b^{2}} = 1$

The vertices of your parabola are (0,±8) so a = 8.

The covertices are (±6,0), so b = 6.

Calculate c

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\8^{2} + 6^{2} & = & c^{2}\\64 + 36 & = & c^{2}\\100 & = & c^{2}\\c & = & \mathbf{10}\\\end{array}$

A. Foci

The foci are at (0, ±c) = (0, ±10)

TRUE. There is a focus at (0,-10).

B. Foci

The foci are at (0,±10).

False. There is no focus at (0,12)

C. and D. Asymptotes

The equations for the asymptotes are

$y = \pm\dfrac{a}{b}x = \pm\dfrac{8}{6}x = \pm\dfrac{4}{3}x$

So, y = ±x are not asymptotes.

False.

E. and F. Directrices

The equations of the directrices are

y = ±a²/c = ±64/10 = ±6.4

y = 6.4 is a directrix.

E is false. x = cannot be a directrix

F is uncertain. Your equation for the directrix is incomplete.

3 0

3 years ago

The length of a rectangle is 5 inches longer than it is wide. If the area is 150 square inches, what are the dimensions of the r

ikadub [295]

Answer:

Width: 10 inches

Length: 15 inches

Step-by-step explanation:

Let the width be w.

Since the length is 5 inches longer than its width, the length = w +5.

Area of rectangle = length x width

w (w +5) = 150

w^2 + 5w = 150

w^2 + 5w -150 = 0

Using quadratic formula,

w = 10 or -15

Since the width cannot be negative,

the width is 10 inches.

Now just substitute w=10 into length = w +5.

length = 10 + 5

= 15 inches

5 0

3 years ago

Read 2 more answers

Savannah works as a sales rep and receives 4.5% for every $140 she sells. How much commission will she receive?

Kamila [148]

31.1 hope this helps

5 0

2 years ago

Read 2 more answers

Identify the correct units to express the following idea.

hammer [34]

The units that we should use are gallons per day, we get:

$r = 2.4\frac{gallons}{day}$

<h3>Which units should we use?</h3>

We want to express the fact that every day you use 2.4 gallons of gasoline.

So we have two types of units in the above sentence, time (in days), and volume (of the gasoline consumed).

Then we conclude that the units that we should use is volume over time, particularly, gallons per day.

So we can represent that measure as:

$r = 2.4\frac{gallons}{day}$

If you want to learn more about units:

brainly.com/question/1972490

#SPJ1

8 0

2 years ago